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Finding the Fourth Proportional to 1,689.16, 2,533.77 and 909.80

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Solution

The fourth proportional to 1,689.16, 2,533.77 and 909.80 is: 1,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.16 : 2,533.77 = 909.80 : x
  2. Step 2: Convert to fraction form
    1,689.16/2,533.77 = 909.80/x
  3. Step 3: Cross multiply
    1,689.16x = 2,533.77 × 909.80
  4. Step 4: Simplify right side
    1,689.16x = 2,305,223.95
  5. Step 5: Solve for x
    x = 2,305,223.95/1,689.16
  6. Step 6: Final answer
    x = 1,364.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.